To solve this problem, we need to identify the specific palindromic sequence recognized by the restriction enzyme EcoRI.$\newline$A palindromic sequence in DNA is a sequence of nucleotides that reads the same forward and backward on complementary strands.$\newline$Let's analyze each option:$\newline \bullet$Option 1:$\newline$5' - GGAACC - 3'$\newline$3' - CCTTGG - 5'$\newline$This sequence is not palindromic because it does not read the same forward and backward.$\newline \bullet$Option 2:$\newline$5' - CTTAAG - 3'$\newline$3' - GAATTC - 5'$\newline$This sequence is not palindromic because it does not read the same forward and backward.$\newline \bullet$Option 3:$\newline$5' - GGATCC - 3'$\newline$3' - CCTAGG - 5'$\newline$This sequence is not palindromic because it does not read the same forward and backward.$\newline \bullet$Option 4:$\newline$5' - GAATTC - 3'$\newline$3' - CTTAAG - 5'$\newline$This sequence is palindromic because it reads the same forward and backward on complementary strands.$\newline$The sequence recognized by EcoRI is indeed 5' - GAATTC - 3'.$\newline$Therefore, the correct option is Option 4.